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Finding the Third Proportional to 252,724 and 555,992

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Solution

The third proportional to 252,724 and 555,992 is: 1,223,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,724 : 555,992 = 555,992 : x
  2. Step 2: Convert to fraction form
    252,724/555,992 = 555,992/x
  3. Step 3: Cross multiply
    252,724x = 555,992 × 555,992
  4. Step 4: Simplify right side
    252,724x = 309,127,104,064
  5. Step 5: Solve for x
    x = 309,127,104,064/252,724
  6. Step 6: Final answer
    x = 1,223,180.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.